Question

If two normals on the parabola $(y-2{)}^2=-12(x+3)$ intersect each other at right angle then the chord joining their feet passes through a fixed point whose coordinate are

• A. $(-2,2)$
• B. $(-3,5)$
• C. $(-6,2)$
• D. $(-3,-1)$

Answer 1

The correct option is C $(-6,2)$

Tangents drawn from the ends of the focal chord intersects each other at right angle.
So their corresponding normals will intersect each other at right angle
$\therefore$ chord will passes through $(-6,2)$